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Simplifying 5(6 + -5y) + y(2x + 7) = 0 (6 * 5 + -5y * 5) + y(2x + 7) = 0 (30 + -25y) + y(2x + 7) = 0 Reorder the terms: 30 + -25y + y(7 + 2x) = 0 30 + -25y + (7 * y + 2x * y) = 0 Reorder the terms: 30 + -25y + (2xy + 7y) = 0 30 + -25y + (2xy + 7y) = 0 Reorder the terms: 30 + 2xy + -25y + 7y = 0 Combine like terms: -25y + 7y = -18y 30 + 2xy + -18y = 0 Solving 30 + 2xy + -18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 2xy + -30 + -18y = 0 + -30 Reorder the terms: 30 + -30 + 2xy + -18y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 2xy + -18y = 0 + -30 2xy + -18y = 0 + -30 Combine like terms: 0 + -30 = -30 2xy + -18y = -30 Add '18y' to each side of the equation. 2xy + -18y + 18y = -30 + 18y Combine like terms: -18y + 18y = 0 2xy + 0 = -30 + 18y 2xy = -30 + 18y Divide each side by '2y'. x = -15y-1 + 9 Simplifying x = -15y-1 + 9 Reorder the terms: x = 9 + -15y-1
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